28th-octave temperaments

This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.

Fractional-octave temperaments

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← 27th-octave • 28th-octave • 29th-octave →

28edo is an interesting system when it comes to fractional-octave temperaments. It has some close approximations including 5/4 and 14/13.

Oquatonic (5-limit)

For higher-limits, see Horwell temperaments #Oquatonic and No-elevens subgroup temperaments #Oquatonic.

Subgroup: 2.3.5

Comma list: [-65 0 28⟩

Mapping: [⟨28 0 65], ⟨0 1 0]]

mapping generators: ~128/125, ~3

Optimal tunings:

• CTE: ~128/125 = 42.857, ~3/2 = 701.955
• CWE: ~128/125 = 42.857, ~3/2 = 701.819

Optimal ET sequence: 28, 56, 84, 140, 224, 2324cc, 2548cc, …, 3220bccc

Badness (Sintel): 18.5